Calculus of Variations and Geometric Measure Theory
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S. Almi - G. Lazzaroni - I. Lucardesi

Crack growth by vanishing viscosity in planar elasticity

created by lazzaroni on 05 Jun 2019
modified on 10 Dec 2019

[BibTeX]

Published Paper

Inserted: 5 jun 2019
Last Updated: 10 dec 2019

Journal: Mathematics in Engineering
Volume: 2
Number: 1
Pages: 141-173
Year: 2020
Doi: 10.3934/mine.2020008
Links: Journal website

Abstract:

We show the existence of quasistatic evolutions in a fracture model for brittle materials by a vanishing viscosity approach, in the setting of planar linearized elasticity. The crack is not prescribed a priori and is selected in a class of (unions of) regular curves. To prove the result, it is crucial to analyze the properties of the energy release rate.


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